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Finding the Third Proportional to 147,768 and 315,192

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Solution

The third proportional to 147,768 and 315,192 is: 672,310.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,768 : 315,192 = 315,192 : x
  2. Step 2: Convert to fraction form
    147,768/315,192 = 315,192/x
  3. Step 3: Cross multiply
    147,768x = 315,192 × 315,192
  4. Step 4: Simplify right side
    147,768x = 99,345,996,864
  5. Step 5: Solve for x
    x = 99,345,996,864/147,768
  6. Step 6: Final answer
    x = 672,310.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.